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Finding the Fourth Proportional to 28,103.64, 38,715.24 and 24,057.60

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Solution

The fourth proportional to 28,103.64, 38,715.24 and 24,057.60 is: 33,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,103.64 : 38,715.24 = 24,057.60 : x
  2. Step 2: Convert to fraction form
    28,103.64/38,715.24 = 24,057.60/x
  3. Step 3: Cross multiply
    28,103.64x = 38,715.24 × 24,057.60
  4. Step 4: Simplify right side
    28,103.64x = 931,395,757.82
  5. Step 5: Solve for x
    x = 931,395,757.82/28,103.64
  6. Step 6: Final answer
    x = 33,141.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.